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基于有限状态的全周期序列混沌映射的研究
引用本文:罗伟民,丘水生. 基于有限状态的全周期序列混沌映射的研究[J]. 电波科学学报, 2003, 18(5): 514-517
作者姓名:罗伟民  丘水生
作者单位:1. 广东移动通信有限责任公司,广东,广州,510100
2. 华南理工大学电子与通信工程系,广东,广州,510640
基金项目:国家教育部高校博士点基金资助项目 ( 0 0 0 5 6 10 7)
摘    要:在有限长度的数字计算机中,混沌迭代序列是一个有限周期序列,其相关性能远远低于理想序列。基于skew tent映射,提出一种离散化的有限状态混沌映射,它允许精确的数值计算,没有舍入误差,通过选择合适的参数,映射能产生全周期长度的序列。仿真实验表明,归一化的序列平均周期对计算机精度不敏感,生成的二进制序列具有良好的相关性能。

关 键 词:全周期序列 混沌映射 相关性能 有限精度效应 扩频通信
文章编号:1005-0388(2003)05-0514-04

Research of chaotic map based on finite state full-of-length period sequences
LUO Wei min QIU Shui sheng. Research of chaotic map based on finite state full-of-length period sequences[J]. Chinese Journal of Radio Science, 2003, 18(5): 514-517
Authors:LUO Wei min QIU Shui sheng
Affiliation:LUO Wei min 1 QIU Shui sheng 2
Abstract:Chaotic sequences will fall into a circle of small period of iteration in finite wordlength digital computer and its performance is much worse than the ideal sequences. A class of discretized finite state chaotic maps is proposed in this paper, which allow an exact numerical study without round off errors and generate full of length period sequences by choosing the appropriate parameters. Experiments show that the normalized average period is insensitive to computer precision and the quantized binary sequence has good correlation properties.
Keywords:finite precision effect   chaotic map   correlation performance
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